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Discrete Torsion, AdS/CFT and duality
High Energy Physics - Theory · Submitted 10 Jan 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This identifies new mirror pairs and suggests new dualities at large N.
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The abstract, sentence by sentence
We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete torsion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse D-branes on orbifolds with discrete torsion, extending earlier results. | contribution 0.97 | 0.90 | 0.07 | asserted 0.98 |
| s1 | We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. | contribution 0.95 | 0.89 | 0.06 | asserted 0.92 |
| s2 | By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. | method 0.77 | 0.58 | 0.11 | hedged possibility 0.79 |
| s3 | This identifies new mirror pairs and suggests new dualities at large N. | interpretation 0.60 | 0.83 | 0.61 | hedged possibility 0.87 |
| s4 | As a by-product we also get a more geometric picture of discrete torsion. | result 0.75 | 0.88 | 0.06 | asserted 0.97 |
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The paper
Original abstract
We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete torsion.
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References
How the literature uses it
14 arXiv papers cite this in 29 sentences
Papers citing it · 23 sentences without a confident label
Uses its method or tool 1 paper
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The moduli spaces we found can be seen as a $ℂ^*$-fibration over a basis described by $𝒵𝒜$, so we can use the same reasoning as in [ref] .
Aspects of ABJM orbifolds with discrete torsion · Matching with gravity duals · 0.93
Compares with it 2 papers
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This monodromy is similar to fractional branes in orbifolds with discrete torsion [ref] where a similar monodromy of fractional branes is encountered, except that in that case the monodromy is already visible with perturbative gauge invariant operators and does not require monopole operators.
Aspects of ABJM orbifolds · The chiral ring · 1.00
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Like in the type IIB case [ref] they are related by mirror symmetry.
Aspects of ABJM orbifolds with discrete torsion · Matching with gravity duals · 0.87
Cites it as background 1 paper
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The case of the $β$-deformation of $𝒩=4$ gauge theory is simple and well known [ref] .
On the geometry and the moduli space of beta-deformed quiver gauge theories · The case of $ℂ^3$ · 0.96
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